5(a+4)=(6+a)

Solution for 5(a+4)=(6+a) equation:

Simplifying
5(a + 4) = (6 + a)

Reorder the terms:
5(4 + a) = (6 + a)
(4 * 5 + a * 5) = (6 + a)
(20 + 5a) = (6 + a)

Remove parenthesis around (6 + a)
20 + 5a = 6 + a

Solving
20 + 5a = 6 + a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a' to each side of the equation.
20 + 5a + -1a = 6 + a + -1a

Combine like terms: 5a + -1a = 4a
20 + 4a = 6 + a + -1a

Combine like terms: a + -1a = 0
20 + 4a = 6 + 0
20 + 4a = 6

Add '-20' to each side of the equation.
20 + -20 + 4a = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 4a = 6 + -20
4a = 6 + -20

Combine like terms: 6 + -20 = -14
4a = -14

Divide each side by '4'.
a = -3.5

Simplifying
a = -3.5